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Finding the Third Proportional to 106,060 and 148,662

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Solution

The third proportional to 106,060 and 148,662 is: 208,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060 : 148,662 = 148,662 : x
  2. Step 2: Convert to fraction form
    106,060/148,662 = 148,662/x
  3. Step 3: Cross multiply
    106,060x = 148,662 × 148,662
  4. Step 4: Simplify right side
    106,060x = 22,100,390,244
  5. Step 5: Solve for x
    x = 22,100,390,244/106,060
  6. Step 6: Final answer
    x = 208,376.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.